3133884000 has 192 divisors, whose sum is σ = 11056893120. Its totient is φ = 771379200.

The previous prime is 3133883999. The next prime is 3133884029. The reversal of 3133884000 is 4883313.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145956 + ... + 166044.

It is an arithmetic number, because the mean of its divisors is an integer number (57587985).

Almost surely, 2^3133884000 is an apocalyptic number.

3133884000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3133884000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5528446560).

3133884000 is an abundant number, since it is smaller than the sum of its proper divisors (7923009120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3133884000 is a wasteful number, since it uses less digits than its factorization.

3133884000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20130 (or 20112 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 3133884000 is about 55981.1039548168. The cubic root of 3133884000 is about 1463.3929968888.

The spelling of 3133884000 in words is "three billion, one hundred thirty-three million, eight hundred eighty-four thousand".